14 citations · 70 across the 12 of their papers we have counts for
12 papers
Identifiability Limits of Physics-Informed Inference for Spatial Stochastic Dynamics from Static Snapshots
Rujie Gu, Ray Zirui Zhang, Christopher E. Miles
Despite increasing scale and resolution, many biological measurements remain destructive, revealing only spatial information rather than the dynamics it encodes. By combining flexi…
Bayesian BiLO: Bilevel Local Operator Learning for Efficient Uncertainty Quantification of Bayesian PDE Inverse Problems with Low-Rank Adaptation
Ray Zirui Zhang, Christopher E. Miles, Xiaohui Xie +1
Uncertainty quantification in PDE inverse problems is essential in many applications. Scientific machine learning and AI enable data-driven learning of model components while prese…
Mechanistic inference of stochastic gene expression from structured single-cell data
Christopher E. Miles
Single-cell gene expression measurements encode variability spanning molecular noise, cell-to-cell heterogeneity, and technical artifacts. Mechanistic stochastic models provide pow…
Variational Markov chain mixtures with automatic component selection
Christopher E. Miles, Robert J. Webber
Markov state modeling has gained popularity in various scientific fields since it reduces complex time-series data sets into transitions between a few states. Yet common Markov sta…
BiLO: Bilevel Local Operator Learning for PDE Inverse Problems
Ray Zirui Zhang, Christopher E. Miles, Xiaohui Xie +1
We propose a new neural network based method for solving inverse problems for partial differential equations (PDEs) by formulating the PDE inverse problem as a bilevel optimization…
Inferring stochastic rates from heterogeneous snapshots of particle positions
Christopher E. Miles, Scott A. McKinley, Fangyuan Ding +1
Many imaging techniques for biological systems -- like fixation of cells coupled with fluorescence microscopy -- provide sharp spatial resolution in reporting locations of individu…
Intrinsic statistical separation of subpopulations in heterogeneous collective motion via dimensionality reduction
Pei Tan, Christopher E Miles
Collective motion of locally interacting agents is found ubiquitously throughout nature. The inability to probe individuals has driven longstanding interest in the development of m…
Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems
Bhargav R. Karamched, Christopher E. Miles
Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical, and biological systems. In this work, we investigate…
Coarse-grained dynamics of transiently-bound fast linkers
Sophie Marbach, Christopher E. Miles
Transient bonds between fast linkers and slower particles are widespread in physical and biological systems. In spite of their diverse structure and function, a commonality is that…
Analysis of non-processive molecular motor transport using renewal reward theory
Christopher E. Miles, Sean D. Lawley, James P. Keener
We propose and analyze a mathematical model of cargo transport by non-processive molecular motors. In our model, the motors change states by random discrete events (corresponding t…
Jump Locations of Jump-Diffusion Processes with State-Dependent Rates
Christopher E. Miles, James P. Keener
We propose a general framework for studying jump-diffusion systems driven by both Gaussian noise and a jump process with state-dependent intensity. Of particular natural interest a…
Bidirectionality From Cargo Thermal Fluctuations in Motor-Mediated Transport
Christopher E. Miles, James P. Keener
Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that ar…